What is the Greatest Common Factor of 2090 and 2103?

Greatest common factor (GCF) of 2090 and 2103 is 1.

GCF(2090,2103) = 1

We will now calculate the prime factors of 2090 and 2103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2090 and 2103.

How to find the GCF of 2090 and 2103?

We will first find the prime factorization of 2090 and 2103. After we will calculate the factors of 2090 and 2103 and find the biggest common factor number .

Step-1: Prime Factorization of 2090

Prime factors of 2090 are 2, 5, 11, 19. Prime factorization of 2090 in exponential form is:

2090 = 2¹ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 2103

Prime factors of 2103 are 3, 701. Prime factorization of 2103 in exponential form is:

2103 = 3¹ × 701¹

Step-3: Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045

Step-4: Factors of 2103

List of positive integer factors of 2103 that divides 2090 without a remainder.

1, 3, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2090 and 2103. The biggest common factor number is the GCF number.
So the greatest common factor 2090 and 2103 is 1.

Also check out the Least Common Multiple of 2090 and 2103